Home
Class 12
MATHS
The value of tan ^(-1) sqrt((a lambda)/(...

The value of `tan ^(-1) sqrt((a lambda)/(b c))+tan ^(-1) sqrt((b lambda)/(c a))+tan ^(-1) sqrt((c lambda)/(a b))` where `a, b, c in R^(+)` and `lambda=a+b+c` is equal to

A

`(pi)/(4)`

B

`pi`

C

`(pi)/(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos
  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|354 Videos

Similar Questions

Explore conceptually related problems

The value of sec [tan ^(-1) (b+a)/(b-a)-tan ^(-1) (a)/(b)]

If a gt b gt 0 , then the value of tan^(-1)((a)/(b))+tan^(-1)((a+b)/(a-b)) depends on

If sqrt(3)+i=(a+i b)(c+i d) then tan ^(-1) (b/a)+tan ^(-1) (d/c)=

If tanA = sqrt(a((a + b + c))/(bc)) , tanB = sqrt(b((a + b + c))/(ca)) , tanC = sqrt(c((a + b + c))/(ab)) , then tan(A + B + C) equal :

If tan ^(-1) a^(3)+tan ^(-1) a=tan ^(-1) b, then b=

If tan x=(b)/(a) then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

If tan^(-1) . b/(c+a) + tan^(-1) . (c)/(a + b) = pi/4 where a, b, c , are the sides of Delta ABC",then" Delta ABC is

If tan (A-B) = 1/sqrt(3) and tan(A+B)=sqrt(3) , find A and B.

Write the principal value of [tan^(-1)(-sqrt3)+tan^(-1)(1)] .

If tan^(-1) 4 + tan ^(-1) 5 = cot^(-1) lambda " , then find " 'lambda'

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If x ge 1 then 2 tan ^(-1) x+sin ^(-1)((2 x)/(1+x^(2)))=

    Text Solution

    |

  2. The value of cos ^(-1) sqrt((2)/(3))-cos ^(-1) (sqrt(6)+1)/(2 sqrt(3))...

    Text Solution

    |

  3. The value of tan ^(-1) sqrt((a lambda)/(b c))+tan ^(-1) sqrt((b lambda...

    Text Solution

    |

  4. tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is

    Text Solution

    |

  5. sin ^(-1)(1-x)-2 sin ^(-1) x=(pi)/(2), then x is equal to

    Text Solution

    |

  6. Solve the following equations : sin(tan^(-1)x),|x|lt1 equal to

    Text Solution

    |

  7. The principal value branch of sec ^(-1) x is

    Text Solution

    |

  8. Which of the following corresponds to the principal value branch of ta...

    Text Solution

    |

  9. Write the principal value branch of cos^(-1)x

    Text Solution

    |

  10. Which of the following is the principal value branch of cosec^(-1) x ?

    Text Solution

    |

  11. Write the principal value branch of cos^(-1)x

    Text Solution

    |

  12. The value of sin^(-1)(cos ((43pi)/5)) is :

    Text Solution

    |

  13. The principal value of the expression cos^(-1)[cos (-680^@)] is :

    Text Solution

    |

  14. The value of cot (sin ^(-1) x) is

    Text Solution

    |

  15. If tan ^(-1) x=(pi)/(10) for some x in R then the value of cot ^(-1) x...

    Text Solution

    |

  16. Find the domain of sin^(-1)(2x)

    Text Solution

    |

  17. The principal value of sin^(-1) (-sqrt3/2) is :

    Text Solution

    |

  18. If theta=sin ^(-1)[sin (-600^(circ))], then the value of theta is

    Text Solution

    |

  19. The domain of the function y=sin ^(-1)(-x^(2)) is

    Text Solution

    |

  20. The domain of y=cos ^(-1)(x^(2)-4) is

    Text Solution

    |